Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization
Abstract
An approach to find the field equation solution of the Randall-Sundrum model with the S1/Z2 extra axis is presented. We closely examine the infrared singularity. The vacuum is set by the 5 dimensional Higgs field. Both the domain-wall and the anti-domain-wall naturally appear, at the ends of the extra compact axis, by taking a new infrared regularization. The stability is guaranteed from the outset by the kink boundary condition. A continuous (infrared-)regularized solution, which is a truncated Fourier series of a discontinuous solution, is utilized.The ultraviolet-infrared relation appears in the regularized solution.
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